Model the transmission dynamics of COVID-19 propagation with public health intervention

Abstract

In this work, a researcher develops (Susceptible–Stay-at-home–Exposed-Infected–Quarantine–Recovery–Death) coronavirus pandemic, spread model. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number is acquired, and its sensitivity analysis conducted. COVID-19 pandemic spread dies out when and persists in the community whenever . Efficient stay-at-home rate, high coverage of precise identification and isolation of exposed and infected individuals, reduction of transmission, and stay-at-home return rate can mitigate COVID-19 pandemic. Finally, theoretical analysis and numerical results are shown to be consistent.

Modeling the effect of contaminated objects for the transmission dynamics of COVID-19 pandemic with self protection behavior changes

“…As epidemiological models play a fundamental role in the study of the dynamics of such COVID-19, various mathematical modelings have been used to investigate the transmission dynamics of the pandemic [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] . In [13] , a generalized SEIR model was developed to analyze this pandemic.…”

Study of SEIRD Adaptive-Compartmental Model of COVID-19 Epidemic Spread in Russian Federation Using Optimization Methods

“…В нашей работе за основу взяты ряд общепринятых в эпидемиологии компартментных моделей (compartmental models) SIR, SEIR, SEIRS, SEIRD, описанных в [13][14][15][16][17][18][19] и [21][22][23][24][25][26][27].…”

“…Это удобно в случае, когда инкубационным периодом патогена можно пренебречь. До сих пор все перечисленные модели и их многочисленные модификации являются актуальными [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] для входящих в них процессов, начальными условиями и большим набором параметров, зачастую определяемых весьма субъективно [30]. Таким образом, изначально постановка задачи является нелинейной и многопараметрической, и потому разработать для нее качественные методы, обладающие большей эффективностью, чем широко известные методы градиентного типа [29], а также методы, основанные, скажем, на принципе максимума Понтрягина, представляется довольно затруднительным.…”

Prediction and mathematical analysis of the outbreak of coronavirus (COVID-19) in Bangladesh

“…To analyse such event, compartmental models are ubiquitous in science [21] , [22] , [23] , [24] . The outbreak of COVID-19 that triggered the fact of defending infectious occurrence by means of mathematical modelling [25] , [26] , [27] . For reckoning [28] , models search are the centrepieces for the effective posterior enhancement of the disease [29] , [30] .…”